Document Type
Article
Publication Date
2011
College/Unit
Statler College of Engineering and Mining Resources
Department/Program/Center
Lane Department of Computer Science and Electrical Engineering
Abstract
The challenge of tensor field visualization is to provide simple and comprehensible representations of data which vary both directionally and spatially. We explore the use of differential operators to extract features from tensor fields. These features can be used to generate skeleton representations of the data that accurately characterize the global field structure. Previously, vector field operators such as gradient, divergence, and curl have previously been used to visualize of flow fields. In this paper, we use generalizations of these operators to locate and classify tensor field degenerate points and to partition the field into regions of homogeneous behavior. We describe the implementation of our feature extraction and demonstrate our new techniques on synthetic data sets of order 2, 3 and 4.
Digital Commons Citation
McGraw, Tim; Kawai, Takamitsu; Yassine, Inas; and Zhu, Lierong, "Visualizing High-Order Symmetric Tensor Field Structure with Differential Operators" (2011). Faculty & Staff Scholarship. 2791.
https://researchrepository.wvu.edu/faculty_publications/2791
Source Citation
McGraw, T., Kawai, T., Yassine, I., & Zhu, L. (2011). Visualizing High-Order Symmetric Tensor Field Structure with Differential Operators. Journal of Applied Mathematics, 2011, 1–27. https://doi.org/10.1155/2011/142923
Comments
Copyright © 2011 Tim McGraw et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.